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lorasvet [3.4K]
3 years ago
5

Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

y + 7 = -   \frac{2}{3}(x + 6) \\

y + 7 =  -  \frac{2}{3}x - 4 \\

Subtract sides -7

y =  -  \frac{2}{3}x - 4 - 7 \\

Thus ;

y  = f(x)=  -  \frac{2}{3}x - 11 \\

So the correct answer is (( A )) .

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Calculate the following scenario for a simple interest loan.
Semenov [28]

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The amount of monthly payments is $287.5.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (PRT)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Given the following details about the simple interest loan as,

Principal amount, P = $3,000

Interest rate, r = 15%

Number of instalments = 12

Since there are 12 instalments each for a month, therefore, the time period for which the loan was there is 1 year.

Now, the interest for 1 year will be,

Interest amount = ($3,000 × 1 × 15)/100

                           = $450

Further, the total amount that is needed to be paid back is the sum of the principal amount and Interest amount.

Amount needed = $3,000 + $450

                            = $3,450

Moreover, there are 12 instalments, therefore, the number of monthly payments will be,

Monthly payment = $3,450/12 = $287.5

Hence,  the amount of monthly payments is $287.5.

Learn more about Simple Interest here:

brainly.com/question/2793278

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6 0
2 years ago
Help Me Pls Thank You
mart [117]

Answer: It's b

Step-by-step explanation:

7 0
3 years ago
A web server hosting company advertises 99.999 percent guaranteed network uptime. (a) how many independent network servers would
larisa [96]
<span>Instead of thinking about reliability think of failure. 99.999% reliability =0.00001 chance of failure. And 95% reliability =0.05 chance of failure. Assuming failures are independent (they probably are not) the chance of n servers failing is (0.05)n Find n such that (0.05)n=(0.00001) now do it for (0.14)n=(0.00001)</span>
3 0
3 years ago
The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Kisachek [45]
To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
 divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5 
get the square root
r=√33

Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>
9 0
2 years ago
Read 2 more answers
Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.
VLD [36.1K]

Answer:

Part 1) m

Part 2) m

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

m

arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)

substitute the values

arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°

m

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

m

substitute the values

m

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

m

substitute the values

m

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

m

substitute the values

m

m

3 0
3 years ago
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